A connection device for medical use, suitable to connect together biological and/or artificial liquid conveying structures, e.g. a blood vessel and a syringe, where one of the structures is provided with a first end and a lumen. The device is provided with a tubular portion with an insertion end which end is intended to be inserted in said lumen, and a sleeve, which is slideable along the tubular portion, and arranged to keep the vessel at the connection device.